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Articles 91 - 95 of 95
Full-Text Articles in Physical Sciences and Mathematics
Banach Spaces Of Analytic Functions, Michael T. Nimchek
Banach Spaces Of Analytic Functions, Michael T. Nimchek
Honors Theses
In this paper, we explore certain Banach spaces of analytic functions. In particular, we study the space A-1, demonstrating some of its basic properties including non-separability. We ask the question: given a class C of analytic functions on the unit disk D and a sequence [Zn] = 0 for all n? Finally, we explore Mz invariant subspaces of A-1, demonstrating that they may possess the codimension-2 property.
The Use Of Non-Commutative Algebra In Cryptographically Secure Pseudo-Random Number Generators, Brian M. Mckeever
The Use Of Non-Commutative Algebra In Cryptographically Secure Pseudo-Random Number Generators, Brian M. Mckeever
Honors Theses
This thesis begins with a general overview of pseudo-random number generators and some of their applications. This thesis then describes their applications to cryptography, and some additional requirements imposed by cryptography. This thesis then provides an introduction to the ring of quaternions, and discusses how they can be included in pseudo-random number generators. Finally, this thesis provides a description of the performance of these generators.
Symmetric Designs, Difference Sets, And A New Way To Look At Macfarland Difference Sets, John Bowen Polhill Jr.
Symmetric Designs, Difference Sets, And A New Way To Look At Macfarland Difference Sets, John Bowen Polhill Jr.
Honors Theses
In this paper, the topics of symmetric designs and difference sets are discussed both separately and in relation to each other. Then an approach to MacFarland Difference Sets using the theory behind homomorphisms from groups into the complex numbers is introduced. This method is contrasted with the method of finding this type of difference set used by E.S. Launder in his book Symmetric Designs: An Algebraic Approach.
Topics In Cyclotomic And Quadratic Fields, Pam Mellinger
Topics In Cyclotomic And Quadratic Fields, Pam Mellinger
Honors Theses
This paper introduces cyclotomic and quadratic fields and explores some of their properties and applications to problems in number theory. After some preliminary definitions and theorems, the paper looks at the relationship between quadratic and cyclotomic fields, at Kummer's lemma on units in the pth cyclotomic field, and at the Quadratic Reciprocity Law and its applications to diophantine equations.
Air Force Rotc At The University Of Richmond, 1951-1957, Robert J. Dandridge
Air Force Rotc At The University Of Richmond, 1951-1957, Robert J. Dandridge
Honors Theses
In the summer of 1950, after the seriousness of the Korean conflict had become evident, a special committee appointed three years earlier by the Executive Committee of the Board of Trustees was reactivated for the purpose of considering "the feasibility of applying for a Reserve Office Training Corps unit" for the University of Richmond. This special committee, called the ROTC Committee, after thorough study, rendered a unanimous recommendation to the Board that a unit of Army ROTC be applied for. The application was completed and mailed to the Department of the Army. Approval of the application was not long in …